On generalized property (v) for bounded linear operators

J. Sanabria; C. Carpintero; E. Rosas; O. García

J. Sanabria ; C. Carpintero ; E. Rosas ; O. García

Studia Mathematica, Tome 209 (2012), p. 141-154 / Harvested from The Polish Digital Mathematics Library

Résumé

An operator T acting on a Banach space X has property (gw) if $σ_{a} (T) ∖ σ_{S B F ₊ ¯} (T) = E (T)$ , where $σ_{a} (T)$ is the approximate point spectrum of T, $σ_{S B F ₊ ¯} (T)$ is the upper semi-B-Weyl spectrum of T and E(T) is the set of all isolated eigenvalues of T. We introduce and study two new spectral properties (v) and (gv) in connection with Weyl type theorems. Among other results, we show that T satisfies (gv) if and only if T satisfies (gw) and $σ (T) = σ_{a} (T)$ .

Publié le : 2012-01-01

Zbl 1278.47011

EUDML-ID : urn:eudml:doc:286646

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J. Sanabria; C. Carpintero; E. Rosas; O. García. On generalized property (v) for bounded linear operators. Studia Mathematica, Tome 209 (2012) pp. 141-154. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm212-2-3/